3.40 Congruent Triangle Proofs GCSE Higher PowerPoint Lesson

In this 34-slide lesson, pupils will learn how to prove that two triangles are congruent using formal geometric reasoning. They will be introduced to the four key congruence criteria: SSS, SAS, ASA, and RHS. Pupils will practise applying these rules to diagrams and use them to justify that two shapes are exactly the same in size and shape.

The lesson develops logical thinking, accurate use of mathematical language, and structured proof writing — essential skills for higher-tier reasoning questions.

Note this lesson is for the higher tier.

The lesson includes:

• Clear, guided examples

• Discussion opportunities from Think, Pair, Share

• Mini whiteboard section to check understanding and clarify misconceptions

• Two structured tasks to practise key skills

• Challenge activity to extend and deepen learning

Perfect for engaging learners while reinforcing essential geometry concepts.